DOI: https://doi.org/10.15407/publishing2020.56.005
ABOUT PLANE FIELD APPROXIMATION IN CALCULATIONS OF THE AXISYMMETRIC FIELD NEAR A PLANE BOUNDARY SURFACE
V.M. Mikhailov*, M.P. Petrenko** National technical university Kharkiv polytechnic institute, 2, Kyrpychova Str., Kharkiv, 61002, Ukraine, еmail:
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* ORCID ID : http://orcid.org/0000000179895932 ** ORCID ID : http://orcid.org/0000000274139908
Axisymmetric and plane magnetic and electrostatic fields over plane boundary of conductive halfspace are considered. Conductive ring or straight conductor of the same section with high frequency or pulse current creates magnetic fields. There is sharp skineffect in conductor. The same, but charged, conductors create electrostatic field. The ring and straight conductor are represented by assemblages of elementary currentcarrying or charged rings and axes. Formulation of axisymmetric and plane magnetic field vector potential problems for elementary currents over perfectly superconductive halfspace and its solutions are described. Currents and charges inducted in conductive halfspace are calculated. The comparison of magnetic field induction and electrostatic field strength distributions on boundary surface is made. The criterion of plane field approximation for calculation of axisymmetric magnetic and electrostatic fields is proposed and its allowable values are defined. It’s established that for some values of this criterion the axisymmetric electrostatic field strength distribution of boundary of conductive halfspace approach to the axisymmetric magnetic field induction distribution on boundary of perfectly superconductive halfspace. References 9, figures 4. Key words: magnetic field, sharp skineffect, electrostatic field, axisymmetric field, plane field, plane field approximation, criterion of plane field approximation.
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Received 28.02.2020
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